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Finding the Fourth Proportional to 538.55, 807.89 and 264.65

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Solution

The fourth proportional to 538.55, 807.89 and 264.65 is: 397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 807.89 = 264.65 : x
  2. Step 2: Convert to fraction form
    538.55/807.89 = 264.65/x
  3. Step 3: Cross multiply
    538.55x = 807.89 × 264.65
  4. Step 4: Simplify right side
    538.55x = 213,802.73
  5. Step 5: Solve for x
    x = 213,802.73/538.55
  6. Step 6: Final answer
    x = 397.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.